i say no for a bunch of reasons, nothing meant to offend, this is purely my opinion as a parent. first, she may not sit thru and get fussy, then what. you may be leaving 10 minutes into the movie and will be wasting alot of money. second, other people are paying alot of money to go to the movies, and the possible issues with a toddler arent fair to put on other people. third, movies are loud. fourth, previews of coming attractions are edited in certain ways that children dont understand and usually jump around and are too dramatic for a young child. fifth, the AAP recommends no TV or movies for children under 2, and even after 2, the amount of tv time should be minimal like 30 mins a day. there are many studies that suggest several negatives for children who watch television esp at such a young age. 6th, at this age, she cannot truley grasp the entire concept of a full length movies so it wont be appreciated as much by her.
now imo, this is the most important. without seeing the movie first yourself, you dont know the content and wont be sure if there may be a scene you dont think is appropriate. of course, everyone has different thresholds. i personally felt shrek had wayyyy too many adult themes and completely inappropriate for a toddler. it is rated PG, anything rated PG is not a good choice, it means its questionable, otherwise it would be rated G. BOLT is rated PG as well. although, i dont agree that children this young should be watching any shows, if you do choose to allow it, why not focus on more child oriented topics, like elmo, or dora. these shows you can allow your daughter to watch without worry.
society, actually marketing agencies, in general are pushing us to raise our kids to grow up way to soon. animated films are now geared towards parents. the movie makers realize if you play a movie that only appeals to children, there is less chance the parent(s) will attend or even bring their kid. once you appeal to both, there is a better chance the parent will bring their child in the first place. i personally think it is awful for filmmakers to make anything animated with PG ratings.